Schur polynomials and the Yang-Baxter equation
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Publication:652268
DOI10.1007/s00220-011-1345-3zbMath1232.05234arXiv0912.0911OpenAlexW1816230691MaRDI QIDQ652268
Solomon Friedberg, Daniel Bump, Benjamin Brubaker
Publication date: 14 December 2011
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.0911
Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Exactly solvable models; Bethe ansatz (82B23) Yang-Baxter equations (16T25)
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Uses Software
Cites Work
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- Weyl group multiple Dirichlet series, Eisenstein series and crystal bases
- Alternating sign matrices and some deformations of Weyl's denominator formulas
- Solitons and infinite dimensional Lie algebras
- Calculation of norms of Bethe wave functions
- Quantum inverse scattering method for the \(q\)-boson model and symmetric functions
- Bijective proofs of shifted tableau and alternating sign matrix identities
- Izergin-Korepin determinant at a third root of unity
- Alternating sign matrices and descending plane partitions
- Determinants and alternating sign matrices
- The generating function of strict Gelfand patterns and some formulas on characters of general linear groups
- The Bethe Ansatz and the combinatorics of Young tableaux
- The Yang-Baxter equation, symmetric functions, and Schubert polynomials
- The 6 vertex model and Schubert polynomials
- U-turn alternating sign matrices, symplectic shifted tableaux and their weighted enumeration
- Weyl Group Multiple Dirichlet Series
- INTRODUCTION TO THE YANG-BAXTER EQUATION
- QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
- Metaplectic Ice
